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Book of proof

Author: Richard H Hammack; Open Textbook Library,
Publisher: Richmond, Virginia : Department of Mathematics & Applied Mathematics, Virginia Commonwealth University Minneapolis : Open Textbook Library
Edition/Format:   Website : Document : Updating website : State or province government publication   Continually Updated Resource   Computer File : EnglishView all editions and formats
Summary:
Book of Proof is an introduction to the language and methods of mathematical proofs. The text is meant to bridge the computational courses that students typically encounter in their first years of college (such as calculus or differential equations) to more theoretical, proof-based courses such as topology, analysis and abstract algebra. Topics include sets, logic, counting, methods of conditional and  Read more...
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Details

Genre/Form: Textbooks
Material Type: Document, Government publication, State or province government publication, Updating website, Internet resource
Document Type: Internet Resource, Computer File, Continually Updated Resource
All Authors / Contributors: Richard H Hammack; Open Textbook Library,
ISBN: 9780989472104 0989472108
OCLC Number: 900284014
Notes: Includes index.
Description: 1 online resource (x, 303 pages) : illustrations
Contents: Sets --
Logic --
Counting --
Direct proof --
Contrapositive proof --
Proof by contradiction --
Proving non-conditional statements --
Proofs involving sets --
Disproof --
Mathematical induction --
Relations --
Functions --
Cardinality of sets.
Responsibility: Richard Hammack.

Abstract:

Book of Proof is an introduction to the language and methods of mathematical proofs. The text is meant to bridge the computational courses that students typically encounter in their first years of college (such as calculus or differential equations) to more theoretical, proof-based courses such as topology, analysis and abstract algebra. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

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